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Finding the Fourth Proportional to 7,841.80, 10,821.72 and 4,305.04

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Solution

The fourth proportional to 7,841.80, 10,821.72 and 4,305.04 is: 5,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.80 : 10,821.72 = 4,305.04 : x
  2. Step 2: Convert to fraction form
    7,841.80/10,821.72 = 4,305.04/x
  3. Step 3: Cross multiply
    7,841.80x = 10,821.72 × 4,305.04
  4. Step 4: Simplify right side
    7,841.80x = 46,587,937.47
  5. Step 5: Solve for x
    x = 46,587,937.47/7,841.80
  6. Step 6: Final answer
    x = 5,940.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.